Davie T.
asked • 03/12/21Precalculus question
If ln(a)=2, ln(b)=3, and ln(c)=5, evaluate the following:
A. ln( (a ^-2) / (b^4 c^2)) = ___?
B. ln sqrt(b^2 c^-3 a^-4) = ___?
C. (ln(a^4 b -1)) / (ln(bc)^-2) = ___?
D. ln(c^-4) ( ln (a) / (b^-3)) = ___?
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2 Answers By Expert Tutors
Vasumathi N. answered • 03/14/21
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03/14/21
Raymond B. answered • 03/12/21
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Math, microeconomics or criminal justice
A : -26
lna = 2, lnb=3 lnc = 5
ln(a^-2/(b^4c^2) = lna^-2 - (lnb^4 + lnc^2) =
-2lna - (4lnb + 2lnc) =
-2(2) - (4(3) + 2(5)) = -4 -(12+10) = -4-22 = -26
B: -20
lnsqr(b^2c^-3a^-4) = (1/2)lnsqr(b^2/(c^3a^4) = (1/2)(2lnb -3lnc -4lna) =
(1/2)2(3) - (15+8) = 3-23 = -20
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Mark M.
All of the involve the Laws of Logarithms/Exponents. Study then and attempt.03/12/21